New format available! This reference is now available in a new format that offers faster page load, improved display for calculations and images and more targeted search.
As of January 2024, this Reliawiki page will not continue to be updated. Please update all links and bookmarks to the latest references at ALTA examples and ALTA reference examples.
|
Arrhenius-Exponential Model
|
This example validates the calculations for the Arrhenius-exponential model in ALTA standard folios.
Reference Case
The data set is from Example 7.1 on page 254 in book Life Cycle Reliability Engineering by Dr. Guangbin Yang, John Wiley & Sons, 2007.
Data
| Failure Time
|
Temperature (°C)
|
| 2385 |
85
|
| 2537 |
85
|
| 1655 |
100
|
| 1738 |
100
|
| 1025 |
115
|
| 1163 |
115
|
Result
For this data set, the Arrhenius life-stress relationship with an exponential distribution is used. The estimated activation energy value is [math]\displaystyle{ \,\!E_{a}=0.323 }[/math]. The acceleration factor from 70°C to 35°C is 3.5.
Results in ALTA
In ALTA, the temperature values given in the book are converted from Celsius to Kelvins, as shown next.
The calculated activation energy is 0.323. The acceleration factor from 70°C (343.15 K) to 35°C (308.15 K) is 3.46 as shown next.
